Answer:
1: 0.625, 2: 1.05, 3: 2 13/20
Step-by-step explanation:
Use a calculator to determine the exact value of the fractions, or do it by hand.
Answer:
0.625 , 1.05, 2 13/20
Step-by-step explanation:
Well, this isn't that hard if you really think about it.
For Number 1: 5/8 as a decimal, first you want to divide
100 by 8, which equals to 12.5. Then multiply 12.5 by 5 which gets you 62.5
Move the decimal place 2 to the left, and you get 0.0625.
For Number 2: 1 and 1/20
100/20=5
So you have 1 and 5/100, convert 5 to percent so 5%
5%+100%=105%
105= 1.05
Number 3: 2.65
100/20=5
13x5=65
0.65+2= 2.65, 2 13/20.
What is the solution to this equation?
3d + 2) – 12 = d - 2
==
-
O d = 2
O d = 4
O d = 8
O d = 10
Answer:
D=4
Step-by-step explanation:
a. The solution of the equation x + 2 = √3x + 10 is x = -3 or x =2.
b. Extraneous solution is x= -3.
c. Extraneous solution does not satisfy original equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
As given in the question,
Given equation :
x + 2 = √3x + 10
a. Squaring both the sides
( x + 2 )² = ( √3x + 10 )²
⇒ x² + 4x + 4 = 3x + 10
⇒ x² + x - 6 =0
⇒ x² + 3x -2x -6 =0
⇒ ( x+ 3) ( x -2) =0
⇒ x= -3 or x = 2
b. Extraneous solution:
x = -3
-3 + 2 = √3(-3)+ 10
⇒ -1 ≠ 1 extraneous solution.
x= 2
2+ 2 =√3(2) +10
⇒4 = 4 not extraneous.
c. Extraneous solution does not satisfy original equation
Therefore, the solution of the equation is x = -3 or x=2and its extraneous solution is x =-3. Extraneous solution does not satisfy original equation.
Learn more about equations here
brainly.com/question/29538993
#SPJ7
The complete question is :
Use the equation below to answer these questions.
x + 2 = √3x + 10
a) What is the solution to the equation?
b) What is the extraneous solution? Why?
c) In general, what is an extraneous solution?
Plsss help It due tmr plsss
Answer: 50
Step-by-step explanation:
exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130
50 is missing from 180
Simplify the expression and combine like terms.
3(x+1)+8+4x3(x+1)+8+4x
please help, it would mean the world to me :D
Answer:
im gonna guess that the x's aren't multiplication, the answer is 14x+20
A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and length if the length is 270ft greater than the width.
Answer:
l = 720ft w = 450ft
Step-by-step explanation:
[tex]2340 = 2l + 2w \\ l = w + 270 \\ 2340 = 2(w + 270) + 2w \\ 2340 = 2w + 540 + 2w \\ 1800 = 4w \\ w = 450 \\ \\ l = 450 + 270 \\ l = 720[/tex]
Answer: hope this
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+2y=-8
Answer:
y = 3x - 5
Step-by-step explanation
Answer:
Y = 3x - 5
Step-by-step explanation:
6x - 2y = 10
-2y = -6x + 10
y = 3x - 5
Please help 30 points and don’t comment stuff for the points please
Answer:
x = 78
y = 115
Step-by-step explanation:
Answer:
X= 78°
Y=115°
Step-by-step explanation:
180° - 102°
115 = 115°
what is 3(w*8)+x if w is 1/3 and x is 4 give brain help
Answer:
12
Step-by-step explanation:
To evaluate 3(w*8)+x, replace 'w' with (1/3) and 'x' with 4:
3([1/3]*8) + 4
We can multiply 3, [1.3] and 8 in any order, then add 4:
1*8 + 4, or 8 + 4 = 12
Answer:
10
Step-by-step explanation:
15 men can complete the construction of a wall in 12 days in how many days can 18 men complete the same work
Answer:
10 days
Step-by-step explanation:
15 men ----- 12 days
18 men ----- x ?
They are inversely proportional
more men less days
15 / 18 * 12 = 10 days
The distance between two cities is 420km. What is the average speed of a journey from one city to the other if it takes 6 hours and 15 minutes?
BRAINLIEST
Answer:
1.024km/h
Step-by-step explanation:
speed=distance/time
speed=420/6 hours 15 minutes
speed=420/410
speed=1.024km/h
A car traveled 35 miles per hour. In how many hours did it travel 280 miles?
Answer:
8
Step-by-step explanation:
280/35=8
Answer:
8 hours.
Step-by-step explanation:
280/35 = 8
Which expression is equivalent to
(2^3x9)4/5
Answer:
288/5
Step-by-step explanation:
simplified: (2³x 9) x 4/5 = 288/5
the tjmaxx is selling a coat for $126. if the price on the receipt was $ 134.82, what is the sales tax
Answer:
The tax is 7% ^^
Step-by-step explanation:
Answer:
Sale tax is 7% or $8.82
Step-by-step explanation:
126 + 8.82 = 134.82 sales tax 7%
if johnny had 3 apples and gave Susan 2 how much apples would he have
Answer:
an apple would remain
Step-by-step explanation:
you have 1200 feet of fencing enclose a rectangular region and subdivide it into three smaller rectangular regions by placing two fences parallel to one of the sides. Express the area of the enclosed rectangular region, as a function of the length the fence that divides the rectangular region, x
Answer:
400
Step-by-step explanation:
PLEASE HELP I WOULD GIVE OUT MORE POINTS BUT THIS IS ALL I HAVE
What is the value of K?
Answer:
The one guy is right k equals 43.6
Hope This Helps!!!
The value of k using Vertical angles is 43.6 degree.
Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.
Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.
As, k and 43.6 are Vertical angles.
So, k = 43.6
Learn more about Vertical Angles here:
https://brainly.com/question/24566704
#SPJ6
a train travelled 3/5 of a journey in 6 hours. then it travelled the remaining 300 miles in 4 hours. what was the average speed for the whole journey
Please solve.
Picture below
Answer:
1) -2x-11
2) 1.3x-3
3) 5k-20
4) 21.84
Step-by-step explanation:
-2x-7+(-4) -2x-7-4 -2x-11
5.2x+9-12-3.9x 1.3x+9-12 1.3x-3
5(k-4) distribute 5k-20
5.46÷0.25=21.84
1/4 ,1/2, 1, 2, solve for a10
Answer: {a}_{10} = 128
Step-by-step explanation:
I will give BRAINLIEST. Could someone give an answer along with a brief explanation pls.
Answer:
y=[tex]\frac{3}{4}[/tex]x-2
Step-by-step explanation:
Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]
then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)
then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3
then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2
What is the product?
(x − 3)(2x2 − 5x + 1)
2x3 − x2 + 16x + 3
2x3 − 11x2 + 16x + 3
2x3 − 11x2 + 16x − 3
2x3 − x2 + 16x − 3
Step-by-step explanation:
= (x - 3)(2x² - 5x + 1)
= 2x³ - 5x² + x - 6x² + 15x - 3
= 2x³ + (-5 - 6)x² + (1 + 15)x - 3
= 2x³ - 11x² + 16x - 3
Option → C
The product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
What is the Product of Two Polynomials?The product of two polynomials is simply the multiplication of both polynomials together.
Given:
(x − 3)(2x² − 5x + 1)
Multiply using the distributive property
x(2x² − 5x + 1) -3(2x² − 5x + 1)
2x³ - 5x² + x - 6x² + 15x - 3
Combine like terms
2x³ - 11x² + 16x - 3
Therefore, the product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
Learn more about polynomials on:
https://brainly.com/question/2833285
A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it take for that train to travel 100 miles?
Answer: 1 hour and 50 min
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can someone tell me what happens in 2 hours
The price of a gallon of unleaded gas has dropped to 2.85 today. Yesterday's price was 2.91. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
CAN SOMEONE PLEASE ANSWER MY QUESTION IF IS WORTH 100 points!!!! I HAVE BEEN TRYING TO GET AN ANSWER SINCE 1:00! AND I HAVE SPENT OVER 1000 POINTS!!!!!!! JUST PLEASE TAKE TIME TO ANSWER!!!! DON"T PUT A LINK PLEASE OR DELETE
GIVEN THAT TAN Ꝋ= - 4/3 AND Ꝋ IS IN QUADRANT II, FIND SIN 2Ꝋ
Answer:
sin 2θ = -24/25
Step-by-step explanation:
see the below formula of sin x in terms of tan x
by substituting => -4/3 / ± √(16/9 + 1)
=> -4/3 / ± √(25/9)
=> -4/3 / ± 5/3
=> ± -4/5
=> ± 4/5
as theta is in second quadrant is in 2nd quadrant sin value is positive
so sin θ = 4/5 and cos θ = -3/5
now sin 2θ = 2 sinθcosθ
= 2 * 4/5 * -3/5
= -24/25
pls help me and pls no link dont try me
Answer:
red line
the red line has a slope of -1 by looking at the coordinates,
it also intersects the given point (1,-1)
A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
3156 out of 40467 adults experienced depression, hence:
[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]
The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).
A similar problem is given at https://brainly.com/question/16807970
Is (1,1), (2,2), (3,3), (4,4), (5,8) a function? Why or why not?
To solve for k in the inequality -16 -32 > -48, what steps are correct?:
A First, subtract 32 to each side, then divide by -16 and flip the sign
B First, divide both sides by 16, then add 32 to both sides and leave
the sign
C First, subtract 48 from both sides, divide by -16 and leave the sign
D First, add 32 to both sides, then divide by -16 and flip the sign
Answer:
D. First, add 32 to both sides, then divide by -16 and flip the sign
Step-by-step explanation:
Taking that the inequality is -16k-32>-48
First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:
-16k-32+32 > -48 +32
Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.
[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]
The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The price was dropped around 15%
Step-by-step explanation:
You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.
Tried a couple times but cant seem to find the answer, would appreciate an explanation.
Answer:
Option CStep-by-step explanation:
You just need tp translate what is written in the two- column proof into paragraph.
Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.
We don't perform any of addition, division or multiplication operations. We just compare the angle measures and come to conclusion.
This is best described in the paragraph C
